Scalar-field models
During my PhD I studied scalar-field dark matter, compact cores and the relation between field dynamics and effective fluid descriptions.
CINVESTAV · PhDLUIS ENRIQUE PADILLA ALBORES / THEORETICAL COSMOLOGIST
I study the physics between the end of inflation and Big Bang nucleosynthesis, focusing on primordial black holes and gravitational waves.
I combine theoretical models, numerical relativity and statistical methods to investigate gravitational collapse, PBH formation and possible observational signatures.
RESEARCH FOCUS
The period between the end of inflation and Big Bang nucleosynthesis (BBN) is not well constrained. The Universe may have experienced prolonged reheating, an early matter-dominated era or kination. Different expansion histories and matter components affect the evolution of primordial fluctuations and the conditions for black-hole formation.
My research studies how these physical conditions affect primordial-black-hole (PBH) formation and gravitational-wave (GW) production. I use analytical models and numerical relativity to study individual collapse events, then investigate how their properties enter cosmological predictions for PBH populations and GW backgrounds.
02 / RESEARCH BACKGROUND
My work has developed from scalar-field dark matter and reheating to numerical simulations of gravitational collapse and PBH mass distributions.
During my PhD I studied scalar-field dark matter, compact cores and the relation between field dynamics and effective fluid descriptions.
CINVESTAV · PhDAt UNAM I studied PBH formation through inflaton structures and constraints from PBH abundances and induced gravitational waves.
UNAM · POSTDOCAt Queen Mary I derived and implemented the core of a relativistic scalar-field–fluid evolution solver to examine nonlinear collapse.
QUEEN MARY · POSTDOCAt Rikkyo I study critical mass scaling, discrete self-similarity and their effects on PBH mass functions.
RIKKYO · JSPS FELLOW03 / RESEARCH AREAS
My research combines early-Universe models, numerical simulations of nonlinear gravity, and predictions for PBHs and gravitational waves.
How universal are the critical exponents and other features of gravitational collapse, and which of them survive in PBH observables? I use numerical relativity to investigate critical mass scaling, discrete self-similarity (DSS) and their possible imprints on PBH mass distributions.
Read the PRD LetterIf reheating lasts sufficiently long, primordial fluctuations may grow into inflaton halos and compact scalar-field cores. I investigate how these structures form and evolve, and how interactions, accretion and possible collapse into PBHs could help constrain the duration and physical conditions of reheating.
Explore the mechanismHow can PBH abundances, mass distributions and stochastic gravitational-wave backgrounds help distinguish different scenarios for the early Universe? I study their dependence on primordial fluctuations, expansion history and nonlinear collapse, including how to separate features produced at formation from those inherited from the initial conditions.
Explore the GW connectionWhat happens when a spectator field crosses a metastable barrier? Our nonlinear simulations uncover distinct black-hole-forming branches. The connection to the physical Standard Model Higgs remains an important open question.
Read the preprint04 / SELECTED RESULTS
A few representative results from published work, with links to the corresponding papers.
We demonstrated the characteristic log-periodic fine structure of near-critical scalar-field PBH formation during kination. I am now investigating how those signatures depend on initial conditions and propagate into population statistics.
I derived and implemented the core evolution solver for coupled Einstein–scalar-field–fluid simulations, helping establish when effective-fluid treatments capture nonlinear collapse and when field dynamics change the outcome.
My work explored PBH formation through the growth and instability of inflaton structures and investigated how PBH abundances and induced gravitational waves can jointly constrain slow-reheating scenarios.
05 / CURRENT AND FUTURE WORK
Research questions I am currently pursuing or plan to investigate.
Test whether DSS modulations survive profile mixing, astrophysical evolution and observational selection in PBH searches.
Combine inflaton structure growth, accretion and collapse with gravitational-wave predictions to probe post-inflationary history.
Extend metastable-field simulations towards physically motivated Higgs potentials and related early-Universe scenarios.
Develop reliable, physics-informed surrogates for collapse thresholds and mass relations, grounded in relativistic simulations.
06 / ACADEMIC BACKGROUND
I have worked in Mexico, the United Kingdom and Japan, collaborating on theoretical cosmology, numerical relativity and gravitational-wave physics.
I trained in physics at the Universidad de Guadalajara and completed a PhD at CINVESTAV–IPN in Mexico in 2020, advised by Tonatiuh Matos. During my doctorate I spent six months at UT Austin working with Paul Shapiro and Tanja Rindler-Daller.
I then worked at UNAM with Juan Carlos Hidalgo, at Queen Mary University of London with David Mulryne and Karim Malik, and now at Rikkyo University in Tokyo with Tomohiro Harada. Each step broadened the tools and physical questions I could tackle.
I also teach and mentor students, develop numerical tools and collaborate on problems in cosmology, gravitation and high-energy theory.
Explore my full CVRikkyo University
JSPS International Postdoctoral Fellow · Japan
Queen Mary University of London
Postdoctoral Researcher · United Kingdom
Instituto de Ciencias Físicas, UNAM
Postdoctoral Researcher · Mexico
CINVESTAV–IPN
PhD in Physics · Mexico
Universidad de Guadalajara
BSc in Physics · Mexico
I formally advised five diploma-level research students at MCTP–UNACH and have contributed to the informal research guidance of students from undergraduate to PhD level. I've taught cosmology, quantum mechanics, statistical physics and topics in PBHs.
I develop and apply an extended Misner–Sharp scalar-field–fluid solver, including strong-gravity diagnostics and HPC workflows. The code is not yet publicly released. I'm also a contributor to PBH-β ↗.
Member of the local organizing committee for Dynamics of Primordial Black Hole Formation III (2026), and referee for Physical Review Letters, Physical Review D and JCAP.
07 / FELLOWSHIPS & RECOGNITION
Competitive fellowships, funded research appointments, and selected postdoctoral offers. Awarded support and declined offers are listed separately; further details are in my CV.
Japan Society for the Promotion of Science · Rikkyo University, Japan. Includes associated KAKENHI research support for JSPS Fellows.
Queen Mary University of London, UK · Postdoctoral position funded through the host research group’s Royal Society University Research Fellowship.
Instituto de Ciencias Físicas, UNAM · Mexico
Instituto de Ciencias Físicas, UNAM · Mexico. Supported by research grant CB-2016-282569.
Research visit to the University of Texas at Austin · USA
Doctoral studies at CINVESTAV–IPN · Mexico
Postdoctoral offer in theoretical cosmology · China. Declined after accepting the JSPS fellowship at Rikkyo University.
CONACyT postdoctoral offer · Mexico. Declined after accepting the position at Queen Mary University of London.
Postdoctoral offer in numerical relativity and scalar-field dynamics · Portugal. Declined in favour of the DGAPA–UNAM fellowship.
Candidate level · Mexico
Marie Skłodowska-Curie Postdoctoral Fellowship proposal · score 89.4/100; funding not awarded
08 / PUBLICATIONS
A selection spanning critical collapse, reheating, gravitational waves and scalar-field cosmology. Full and evolving records are available on INSPIRE and Google Scholar.
09 / CONTACT
I welcome collaborations, seminar invitations and inquiries from students interested in early-Universe cosmology, primordial black holes, numerical relativity and gravitational waves.
lepadilla@rikkyo.ac.jp